What is the domain of f(x)=(4x)/(sqrt(x^2+16)) ?

The domain of f(x)=(4x)/(sqrt(x^2+16)) is -infinity <x<infinity

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domain of f(x)=(4x)/(sqrt(x^2+16))

domain

f (x) = \frac{4 x}{x ^{2} + 16}

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find non-negative values for radicals:

- \infty < x < \infty

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

f (x) = \frac{x ^{2} + 3 x + 5}{x ^{2} - 4 x + 3}

ln (3 x - 2)

\frac{x ^{2} - 8 x - 9}{2 x ^{2} - x - 10}

y = \frac{6}{3 - x}

f (x) = \frac{7}{16 - x ^{2}}

What is the domain of f(x)=(4x)/(sqrt(x^2+16)) ?
The domain of f(x)=(4x)/(sqrt(x^2+16)) is -infinity <x<infinity